Math, Sleeves and Xah in Second Life
For a 3D version by Sleeves, see: Celtic Knots, Truchet tiles, Combinatorial Patterns.
It is called hyperbolic-paraboloid because the horizontal cross sections are hyperbolas and diagonal vertical cross-sections are parabolas. This structure is commonly used as roofs for modern pavillions.
- You can easily make a hyperbolic-paraboloid.
- Imagine a cube.
- Mark the top two opposite corners.
- These two corners will be the top two vertexes of the surface you see in the above image.
- Now, also mark the two opposite corners at the bottom of the cube.
- Draw diagonal lines from these corners.
- (look at the figure above.
- Your diagonal lines will be the edges of the surface) Mark regular intervals on these diagonal lines.
- Now, connect lines from one diagonal to the other side.
- You are all done!
Lorenz Attractor
Visualization of the math non-linear dynamic system called Lorenz attractor.
Math in Second Life